Bayesian Methods for Finite Population Sampling: 1st Edition (Hardback) book cover

Bayesian Methods for Finite Population Sampling

1st Edition

By Malay Ghosh, Glen Meeden

Chapman and Hall/CRC

296 pages

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Hardback: 9780412987717
pub: 1997-06-01
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Description

Assuming a basic knowledge of the frequentist approach to finite population sampling, Bayesian Methods for Finite Population Sampling describes Bayesian and predictive approaches to inferential problems with an emphasis on the likelihood principle. The authors demonstrate that a variety of levels of prior information can be used in survey sampling in a Bayesian manner. Situations considered range from a noninformative Bayesian justification of standard frequentist methods when the only prior information available is the belief in the exchangeability of the units to a full-fledged Bayesian model. Intended primarily for graduate students and researchers in finite population sampling, this book will also be of interest to statisticians who use sampling and lecturers and researchers in general statistics and biostatistics.

Table of Contents

Bayesian Foundations

Notation

Sufficiency

The Sufficiency and Likelihood Principles

A Bayesian Example

Posterior Linearity

Overview

A Noninfromative Bayesian Approach

A Binomial Example

A Characterization of Admissibility

Admissibility of the Sample Mean

Set Estimation

The Polya Urn

The Polya Posterior

Simulating the Polya Posterior

Some Examples

Extensions of the Polya Posterior

Prior Information

Using an Auxiliary Variable

Stratification and Prior Information

Choosing between Experiments

Nonresponse

Some Nonparametric Problems

Linear Interpolation

Empirical Bayes Estimation

Introduction Stepwise Bayes Estimators

Estimation of Stratum Means

Robust Estimation of Stratum Means

Multistage Sampling

Auxiliary Information

Nested Error Regression Models

Hierarchical Bayes Estimation

Introduction

Stepwise Bayes Estimators

Estimation of Stratum Means

Auxiliary Information I

Auxiliary Information II

About the Series

Chapman & Hall/CRC Monographs on Statistics and Applied Probability

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Subject Categories

BISAC Subject Codes/Headings:
MAT029000
MATHEMATICS / Probability & Statistics / General
MAT029010
MATHEMATICS / Probability & Statistics / Bayesian Analysis
MED090000
MEDICAL / Biostatistics